Least Common Multiple of 8635 and 8641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8641 the smallest integer that is 74615035 that is divisible by both numbers.

Least Common Multiple (LCM) of 8635 and 8641 is 74615035.

LCM(8635,8641) = 74615035

LCM of 8635 and 8641

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8635 and 8641

LCM of 8635 and 8641 is 74615035

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8641. First we will calculate the prime factors of 8635 and 8641.

Prime Factorization of 8635


5 8635
11 1727
157 157
1

Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:

8635 = 51×111×1571

Prime Factorization of 8641


8641 8641
1

Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:

8641 = 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8641.

LCM(8635,8641) = 51×111×1571×86411
LCM(8635,8641) = 74615035

Factors of 8635

List of positive integer factors of 8635 that divides 8635 without a remainder.

1, 5, 11, 55, 157, 785, 1727, 8635

Factors of 8641

List of positive integer factors of 8641 that divides 8641 without a remainder.

1, 8641

Least Common Multiple of 8635 and 8641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8641, than apply into the LCM equation.

GCF(8635,8641) = 1
LCM(8635,8641) = ( 8635 × 8641) / 1
LCM(8635,8641) = 74615035 / 1
LCM(8635,8641) = 74615035

Properties of LCM 8635 and 8641

(i) The LCM of 8641 and 8635 is associative

LCM of 8635 and 8641 = LCM of 8641 and 8635

Related Least Common Multiples of 8635

Related Least Common Multiples of 8641

Frequently Asked Questions on LCM of 8635 and 8641

1. What is the LCM of 8635 and 8641?

Answer: LCM of 8635 and 8641 is 74615035.

2. What are the Factors of 8635?

Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.

3. What are the Factors of 8641?

Answer: Factors of 8641 are 1, 8641. There are 2 integers that are factors of 8641. The greatest factor of 8641 is 8641.

4. How to Find the LCM of 8635 and 8641?

Answer:

Least Common Multiple of 8635 and 8641 = 74615035

Step 1: Find the prime factorization of 8635

8635 = 5 x 11 x 157

Step 2: Find the prime factorization of 8641

8641 = 8641

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 74615035 = 5 x 11 x 157 x 8641

Step 4: Therefore, the least common multiple of 8635 and 8641 is 74615035.